diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index d932d54d..2eadd695 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -244,3 +244,15 @@ 20240131-143522 024281:024284,019976,014717,024285:024288 +20240131-144016 +004164,004166:004168,023054,024289,004170,040657,024290,004176 + +20240131-144355 +030621,024291,030974,024292,030929,024293:024294,030641,024295,030993 + +20240131-145820 +030972,030624,030838,030743,030762,024296,014713,031123,030990,024297 + +20240131-150152 +004724,004726:004728,024298,004106,024299:024300,004736:004737 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 3984073b..00276189 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -126618,7 +126618,9 @@ "20220705\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024300" + ], "remark": "", "space": "", "unrelated": [] @@ -412154,7 +412156,9 @@ "20230314\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024292" + ], "remark": "", "space": "", "unrelated": [] @@ -419047,7 +419051,9 @@ "20230413\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024298" + ], "remark": "", "space": "", "unrelated": [] @@ -658739,6 +658745,252 @@ "space": "", "unrelated": [] }, + "024289": { + "id": "024289", + "content": "曲线 $y=\\dfrac{\\cos x}{x}$ 在 $(\\dfrac{\\pi}{2}, 0)$ 处的切线的斜率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024290": { + "id": "024290", + "content": "设 $\\alpha: x>1$ 且 $y>2$, $\\beta: x+y>3$, 则 $\\alpha$ 是 $\\beta$ 成立的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024291": { + "id": "024291", + "content": "已知四个数 $1,2,4, a$ 的平均数为 4 , 则这四个数的中位数是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024292": { + "id": "024292", + "content": "已知随机事件 $A$、$B$ 互相独立, 且 $P(A)=0.7$, $P(B)=0.4$, 则 $P(A \\cap \\overline{B})=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "014748" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024293": { + "id": "024293", + "content": "若函数 $f(x)=\\mathrm{e}^x-(a-1) x+1$ 在 $(0,1)$ 上是严格减函数, 则实数 $a$ 的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024294": { + "id": "024294", + "content": "将编号为 $1,2,3,4$ 的 4 个小球放入 3 个不同的盒子中, 每个盒子不空, 若放在同一盒子里的 2 个小球编号不相邻, 则共有\\blank{50}种不同的放法.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024295": { + "id": "024295", + "content": "甲乙两人分别独立参加某高校自主招生考试, 若甲、乙能通过面试的概率都是 $\\dfrac{2}{3}$, 则面试结束后通过的人数 $X$ 的期望是\\bracket{20}.\n\\fourch{$\\dfrac{4}{3}$}{$\\dfrac{2}{3}$}{$\\dfrac{10}{9}$}{$\\dfrac{8}{9}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024296": { + "id": "024296", + "content": "若 $f(x)=x^2-2 x-4 \\ln x$, 则 $f'(x)>0$ 的解集为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024297": { + "id": "024297", + "content": "函数 $f(x)=(\\dfrac{2}{1+\\mathrm{e}^x}-1) \\sin x$ 图像的大致形状是\\bracket{20}.\n\\fourch{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{-(2/(1+exp(\\x))-1)*sin(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{-(2/(1+exp(\\x))-1)*cos(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{(2/(1+exp(\\x))-1)*sin(\\x/pi*180)});\n\\end{tikzpicture}}{\\begin{tikzpicture}[>=latex, xscale = 0.23, yscale = 0.5]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -4:4, samples = 100] plot (\\x,{(2/(1+exp(\\x))-1)*cos(\\x/pi*180)});\n\\end{tikzpicture}}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024298": { + "id": "024298", + "content": "已知随机变量 $X$ 服从正态分布 $N(0, \\sigma^2)$, 且 $P(X<-1)=0.1$, 则 $P(0| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0